Question

Tính tổng: A = 6 + 18 + 36 + 60 + ... + 29700 + 30300

Answer 1

A = 6 + 18 + 36 + 60 + ... + 29700 + 30300

A = 3x1x2 + 3x2x3 + 3x3x4 + 3x4x5 + ... + 3x99x100 + 3x100x101

A = 3 x ( 1x2 + 2x3 + 3x4 + ... + 99x100 + 100x101)

A x 3 = 3 x 3 x ( 1x2x3 + 2x3x3 + 3x4x3 + 4x5x3 + ... + 99x100x3 + 100x101x3 )

A x 3 = 3 x 3 x ( 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + 4x5x(6-3) + ... + 99x100x(101-98) + 100x101x(102-99)

A x 3 = 3 x 3 x ( 1x2x3 + 2x3x4 - 1x2x3 + 3x4x5 - 2x3x4 + 4x5x6 - 3x4x5 + ... + 99x100x101 - 98x99x100 + 100x101x102 - 99x100x101)

A x 3 = 3 x 3 x ( 100x101x102) A x 3 = 9 x 1030200

A x 3 = 9271800 A = 9271800 : 3

A = 3090600 

tk nha bạn

thank you bạn

(^_^)